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Finding the Fourth Proportional to 187.60, 279.80 and 181.07

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Solution

The fourth proportional to 187.60, 279.80 and 181.07 is: 270.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.60 : 279.80 = 181.07 : x
  2. Step 2: Convert to fraction form
    187.60/279.80 = 181.07/x
  3. Step 3: Cross multiply
    187.60x = 279.80 × 181.07
  4. Step 4: Simplify right side
    187.60x = 50,663.60
  5. Step 5: Solve for x
    x = 50,663.60/187.60
  6. Step 6: Final answer
    x = 270.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.